Research of Variable Speed Characteristic of Transmission Mechanism of Rod-Gear Type Pulsation CVT by Chen Suifan, Dong Zhifeng

“…Based on the analysis of transmission mechanism of rod-gear type Pulse Continuously Variable Transmission（ P-CVT）,the closed vector equations of equivalent plane six-bar mechanism is built,and the kinematic mathematical model of angular displacement,angular velocity and angular acceleration of connecting rod,rocker and meshing point to input shaft axis of single phase transmission mechanism is constructed by the matrix method. …”
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Tumor cells proliferation and migration under the influence of their microenvironment by Avner Friedman, Yangjin Kim

“…It is well known that tumor microenvironment affects tumor growth and metastasis:Tumor cells may proliferate at different rates and migrate indifferent patterns depending on the microenvironment in which they are embedded.There is a huge literature that deals with mathematical models oftumor growth and proliferation, in both the avascular andvascular phases. …”
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EFFICIENCY OF TRAMP FLEET OPERATING UNDER THE CONTRACTS OF AFFREIGHTMENT by Yuliia KOSKINA, Svitlana ONYSHENKO, Oleksii DROZHZHYN, Oleksii MELNYK

“…This paper presents the mathematical model, based on the fleet and volumes of carriages under a set of contracts of affreightment during the due time. …”
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Study on a New Type of Lelord Triangle Pump by Chen Wenjie, Zou Min, Zhu Hailin, Wang Zhiyang

“…Besides,the pump combined with the characteristics of gear pump and propeller. The mathematical model of lelord triangle is established. The analysis of the motion position of the lelord rotor is carried out,and the displacement and instantaneous flow rate of the internal cavity of the three rotors are calculated. …”
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Deployment strategy for static chargers in WRSN by Hao HE, Yong-rui CHEN, Wei-dong YI, Ming LI

“…The traditional deployment strategy of static chargers in wireless rechargeable sensor networks (WRSN) covers all the area.The basic idea is to cover all the positions of nodes.A mathematical model of distance between a charger and the farthest node was established,the relationship between the number of nodes and the mathematical expectation of minimum radius of charging was analyzed,and deployment strategy for static chargers was proposed.The method based on the locations of all nodes that need to be charged in the area,used the smallest enclosing circle (SEC) algorithm and finds the optimal location of the charger through Euclidean delivery boy algorithm.It will decrease charging radius,reduce the minimum required transmitted power,thereby saving the average charging energy consumption.The experimental results demonstrated that the less the number locations that the nodes existed,the more energy will be saved.…”
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Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors by Bocheng Bao, Aihuang Hu, Han Bao, Quan Xu, Mo Chen, Huagan Wu

“…The proposed memristive HR neuron model has no equilibrium point but can show hidden dynamical behaviors of coexisting asymmetric attractors, which has not been reported in the previous references for the HR neuron model. Mathematical model based numerical simulations for hidden coexisting asymmetric attractors are performed by bifurcation analyses, phase portraits, attraction basins, and dynamical maps, which just demonstrate the occurrence of complex dynamical behaviors of electrical activities in neuron with electromagnetic induction. …”
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Three-Dimensional Shock Spectrum of Critical Component for Nonlinear Packaging System by Jun Wang, Zhi-Wei Wang, Li-Xin Lu, Yong Zhu, Yong-Guang Wang

“…Three key coordinate parameters, such as the nondimensional pulse duration, the frequency parameter ratio and the ratio of the maximum response acceleration to the peak pulse acceleration, were governed in a novel dynamical mathematical model. It is shown that the shock response of critical component is weakened owning to the decrease in the defined system parameter. …”
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Immunotherapy: An Optimal Control Theory Approach by K. Renee Fister, Jennifer Hughes Donnelly

“…We investigate mathematical models for the dynamics between tumor cells, immune-effector cells, and cytokine interleukin-2 (IL-2). …”
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Modeling and Simulation in Engineering Modeling of the Electrocoagulation Processes in Nonisothermal Conditions by Andrii Safonyk, Olena Prysiazhniuk

“…The influence of current strength on the concentration of the target component at the exit from the reactor was investigated using the developed mathematical model. In addition, our findings also show the effect of the rate of heat formation from the electrodes on the efficiency of obtaining of coagulant.…”
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Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time-Nonlocal Shear Stress by Nehad Ali Shah, A. Al-Zubaidi, S. Saleem

“…The fractional calculus technique is used to provide a mathematical model of blood flow with fractional derivatives. …”
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Dynamics of a plant-herbivore model with toxin-induced functional response by Ya Li, Z. Feng

“…In thispaper, a mathematical model for plant-herbivore interactionsmediated by toxin-determined functional response is studied. …”
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Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics by Xinhua Zheng, Lili Xie, Lizhuo Liu

“…Stability of pneumatic cabin pressure regulating system with complex nonlinear characteristics is considered. The mathematical model of each component is obtained and given in detail. …”
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Gradient Based Multipath Reliable Transmission Strategy with Fault Tolerance for Wireless Sensor Networks by Hongbing Li, Qingyu Xiong, Weiren Shi, Cheng Zeng, Min Fan

“…It also establishes the transmission mathematical model to analyze the performance of the network. …”
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A Beginner's Guide to Water Management—Water Clarity by Florida LAKEWATCH, Mark Hoyer

“…Topics range from how we measure water clarity, what affects it, the relationship between water clarity and biological productivity, and techniques used for managing water clarity in lakes. Mathematical models are introduced as a way of predicting water clarity in lakes. …”
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Working Condition Analysis Method of the Gear Pair of Recirculating Ball Variable Ratio Steering by Ke Shanle, Gu Zhiqiang, Niu Ziru, Li Gangyan

“…In order to reflect the actual working conditions of the gear pair in the steering gear accurately,the mathematical model of the steering system is established,and the calculating formulas of the pitman arm moment and the steering nut displacement are given. …”
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An optimal adaptive time-stepping scheme for solving reaction-diffusion-chemotaxis systems by Chichia Chiu, Jui-Ling Yu

“…Reaction-diffusion-chemotaxis systems have proven to be fairlyaccurate mathematical models for many pattern formation problems in chemistryand biology. …”
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Foundations of radar synthesis theory of phantom objects formation in SAR images by Volodymyr Pavlikov, Simeon Zhyla, Pavlo Pozdniakov, Denys Kolesnikov, Hlib Cherepnin, Olexandr Shmatko, Oleksii Odokiienko, Pavlo Malashta, Eduard Tserne

“…The results obtained are the foundation for further research, which should be directed toward the development of mathematical models of the aerospace remote sensing system orbits, spatial and temporal signals emitted by the remote sensing radio systems from aerospace carriers, and formalization of the features of the underlying surface in the “SAR-PhR” system.…”
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Numerical modelling of rope elasticity for heave compensation lifting in offshore crane operations by Bassey Asanga, Akanimo Ekpenyong, Aniekan Ikpe

“…Real time data were collected using classy equipment / sensors. First, a mathematical model for wire rope extension was developed using Newton / Euler’s approach when heave compensation system (HCS) was turned off (WOC) and validated using associated wire rope physical properties. …”
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Development and Application of Well-Test Model after Injection Biological Nanomaterials by Qing Feng, Ping Gao, Xianchao Chen, Jiang Li, Jingchao Zhou, Feng Qian, Shengsheng Li, Yanni Sun, Yingying Wang

“…On this basis, the flow mathematical model of three zones (inner zone, transition zone, and outer zone) of bionanosolution is established. …”
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Parasitic Motion and Workspace Analysis of Parallel Mechanism Based on 2-PRU/PUU by Chunsheng Ma, Jianguo Liu, Jie Wen, Yangtao He, Wenlong Fan

“…Secondly， by establishing the kinematics mathematical model of 2-PRU/PUU parallel mechanism， the mathematical relationship between the Parasitic Motion and the position and pose of the moving platform is deduced. …”
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